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Finding the Fourth Proportional to 6,328.37, 8,733.62 and 4,657.43

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Solution

The fourth proportional to 6,328.37, 8,733.62 and 4,657.43 is: 6,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.37 : 8,733.62 = 4,657.43 : x
  2. Step 2: Convert to fraction form
    6,328.37/8,733.62 = 4,657.43/x
  3. Step 3: Cross multiply
    6,328.37x = 8,733.62 × 4,657.43
  4. Step 4: Simplify right side
    6,328.37x = 40,676,223.80
  5. Step 5: Solve for x
    x = 40,676,223.80/6,328.37
  6. Step 6: Final answer
    x = 6,427.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.